Exact bounds on the effective behaviour ...
Document type :
Compte-rendu et recension critique d'ouvrage
DOI :
Title :
Exact bounds on the effective behaviour of a conducting discrete polycrystal
Author(s) :
Braides, Andrea [Auteur]
Dipartimento di Matematica "Guido Castelnuovo" [Roma I] [Sapienza University of Rome]
Gloria, Antoine [Auteur]
SImulations and Modeling for PArticles and Fluids [SIMPAF]
Dipartimento di Matematica "Guido Castelnuovo" [Roma I] [Sapienza University of Rome]
Gloria, Antoine [Auteur]
SImulations and Modeling for PArticles and Fluids [SIMPAF]
Journal title :
Multiscale Modeling and Simulation: A SIAM Interdisciplinary Journal
Pages :
1198-1216
Publisher :
Society for Industrial and Applied Mathematics
Publication date :
2008
ISSN :
1540-3459
English keyword(s) :
polycrystals
discrete energies
effective properties
composite materials
discrete energies
effective properties
composite materials
HAL domain(s) :
Mathématiques [math]/Analyse numérique [math.NA]
English abstract : [en]
In a recent paper by Braides and Francfort, the problem of the characterization of the overall properties of lattice energies describing networks with arbitrary mixtures of two types of linear conductors has been addressed ...
Show more >In a recent paper by Braides and Francfort, the problem of the characterization of the overall properties of lattice energies describing networks with arbitrary mixtures of two types of linear conductors has been addressed in a two-dimensional setting. In this paper we investigate the connection between that discrete optimization process and the theory of bounds for mixtures of continuum energies, for which the choice of the relationships between the different phases of the mixture is unusual and leads to remarkably simple results in terms of $G$-closure.Show less >
Show more >In a recent paper by Braides and Francfort, the problem of the characterization of the overall properties of lattice energies describing networks with arbitrary mixtures of two types of linear conductors has been addressed in a two-dimensional setting. In this paper we investigate the connection between that discrete optimization process and the theory of bounds for mixtures of continuum energies, for which the choice of the relationships between the different phases of the mixture is unusual and leads to remarkably simple results in terms of $G$-closure.Show less >
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Anglais
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